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An infinite geometric series has common ratio \(-\frac{1}{5}\) and sum \(16\) What is the first term of the series?

 Sep 6, 2021
 #1
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From the formula, the first term is a = 64/5.

 Sep 6, 2021
 #2
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Its 96/5. The formula for sum of an infinite geometric series is      A1/1-r         Where  Ais the first term in the series and r is the common ratio. Plugging in your values, you have  A1/1-(-1/5)=16------------>  A1/(6/5)=16 Solving for  A1 you get 96/5. No clue where my guy got 64/5 from.

 Sep 6, 2021
edited by Guest  Sep 6, 2021

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